# On the zeros of ζ'(s)-a

R. Balasubramanian; K. Ramachandra

Acta Arithmetica (1993)

- Volume: 63, Issue: 2, page 183-191
- ISSN: 0065-1036

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topR. Balasubramanian, and K. Ramachandra. "On the zeros of ζ'(s)-a." Acta Arithmetica 63.2 (1993): 183-191. <http://eudml.org/doc/206513>.

@article{R1993,

author = {R. Balasubramanian, K. Ramachandra},

journal = {Acta Arithmetica},

keywords = {derivative of Riemann zeta-function; distribution of values of Dirichlet series; number of distinct zeros},

language = {eng},

number = {2},

pages = {183-191},

title = {On the zeros of ζ'(s)-a},

url = {http://eudml.org/doc/206513},

volume = {63},

year = {1993},

}

TY - JOUR

AU - R. Balasubramanian

AU - K. Ramachandra

TI - On the zeros of ζ'(s)-a

JO - Acta Arithmetica

PY - 1993

VL - 63

IS - 2

SP - 183

EP - 191

LA - eng

KW - derivative of Riemann zeta-function; distribution of values of Dirichlet series; number of distinct zeros

UR - http://eudml.org/doc/206513

ER -

## References

top- [1] R. Balasubramanian and K. Ramachandra, On the zeros of a class of generalised Dirichlet series. III, J. Indian Math. Soc. 41 (1977), 301-315. Zbl0438.10033
- [2] R. Balasubramanian and K. Ramachandra, On the zeros of a class of generalised Dirichlet series. XI, to appear. Zbl0776.11051
- [3] R. Balasubramanian and K. Ramachandra, Some local convexity theorems for the zeta-function-like analytic functions, Hardy-Ramanujan J. 11 (1988), 1-12. Zbl0663.10042
- [4] R. Balasubramanian and K. Ramachandra, Proof of some conjectures on the mean-value of Titchmarsh series. III, Proc. Indian Acad. Sci. Math. Sci. 102 (1992), 83-91. Zbl0776.11052
- [5] R. Balasubramanian and K. Ramachandra, On the zeros of ζ(s)-a, Acta Arith., to appear.
- [6] B. C. Berndt, On the number of zeros of ${\zeta}^{(}k)\left(s\right)$, J. London Math. Soc. (2) 2(1970), 577-580.
- [7] N. Levinson and H. L. Montgomery, Zeros of the derivative of the Riemann zeta-function, Acta Math. 133 (1974), 49-65. Zbl0287.10025
- [8] E. C. Titchmarsh, The Theory of the Riemann Zeta-function, 2nd ed. (revised and edited by D. R. Heath-Brown), Clarendon Press, Oxford 1986. Zbl0601.10026

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